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Article overview
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Exchange operator formalism for an infinite family of solvable and integrable quantum systems on a plane | C. Quesne
; | Date: |
12 Oct 2009 | Abstract: | The exchange operator formalism in polar coordinates, previously considered
for the Calogero-Marchioro-Wolfes problem, is generalized to a recently
introduced, infinite family of exactly solvable and integrable Hamiltonians
$H_k$, $k=1$, 2, 3,..., on a plane. The elements of the dihedral group $D_{2k}$
are realized as operators on this plane and used to define some
differential-difference operators $D_r$ and $D_{varphi}$. The latter serve to
construct $D_{2k}$-extended and invariant Hamiltonians $chh_k$, from which the
starting Hamiltonians $H_k$ can be retrieved by projection in the $D_{2k}$
identity representation space. | Source: | arXiv, 0910.2151 | Services: | Forum | Review | PDF | Favorites |
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